Which of the options shows the word "TRANSFORM" as it would appear after it is reflected horizontally along AXIS 1 and then vertically along AXIS 2, as indicated in the figure below?
Show Hint
For questions involving multiple transformations (like reflection, rotation), perform them one step at a time. Visualizing the effect on a simple letter first (like 'F' or 'R') can help you quickly eliminate incorrect options. A horizontal reflection is a flip across a horizontal axis (top-to-bottom flip), and a vertical reflection is a flip across a vertical axis (left-to-right flip).
Step 1: Understanding the Question
The question asks to perform two successive reflections on the word "TRANSFORM".
First, a horizontal reflection across AXIS 1.
Second, a vertical reflection across AXIS 2 on the result of the first reflection. Step 2: Performing the First Reflection (Horizontally across AXIS 1)
A horizontal reflection flips the object upside down. The top of the word becomes the bottom and the bottom becomes the top.
Original word: TRANSFORM
After horizontal reflection, each letter is inverted vertically. Let's denote this as `upside-down(TRANSFORM)`. Step 3: Performing the Second Reflection (Vertically across AXIS 2)
A vertical reflection creates a mirror image of the object. The left side becomes the right side and vice-versa.
The result from Step 2, `upside-down(TRANSFORM)`, is now reflected vertically.
This operation has two effects:
1. The order of the letters is reversed: TRANSFORM becomes MROFSNART.
2. Each individual (upside-down) letter is also mirror-imaged.
So, the final image is the word "MROFSNART" with each letter being the upside-down and mirrored version of the original. Step 4: Final Answer
Let's analyze the options:
(A) This is only a vertical reflection (mirror image) of the original word. The letters are not inverted.
(B) This image shows the letters in reverse order (MROFSNART). Each letter is also inverted (upside-down) and mirrored. This matches our derived result.
(C) This shows the letters in reverse order and mirrored, but not upside down.
(D) This shows the original letters mirrored, which is equivalent to just a vertical reflection.
Therefore, option (B) correctly represents the final image after both reflections.
